Question 1118429
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Without algebra, using logical analysis....<br>
(1) Take away the "extra" 6 nickels, so that the remaining coins are equal numbers of nickels and dimes.  The amount left is $5.55 - 6($.05) = $5.55-$.30 = $5.25.
(2) Pair the remaining coins up into groups of 1 nickel and 1 dime.  Each of those groups has a value of $0.15.
(3) The number of those groups required to make the total of $5.25 is $5.25/$0.15 = 35.  So there are 35 nickels and 35 dimes.
(4) Bring back the "extra" 6 nickels, giving you the final answer of 41 nickels nd 35 dimes.<br>
Of course, if an algebraic solution is required, then the solution from the other tutor is fine.